955994400 has 180 divisors, whose sum is σ = 3486562002. Its totient is φ = 254914560.

The previous prime is 955994381. The next prime is 955994401. The reversal of 955994400 is 4499559.

955994400 is a `hidden beast` number, since 9 + 559 + 94 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 703947024 + 252047376 = 26532^2 + 15876^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (955994401) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 57424 + ... + 72176.

Almost surely, 2^955994400 is an apocalyptic number.

955994400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 955994400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1743281001).

955994400 is an abundant number, since it is smaller than the sum of its proper divisors (2530567602).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

955994400 is a wasteful number, since it uses less digits than its factorization.

955994400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14785 (or 14763 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 955994400 is about 30919.1591088762. The cubic root of 955994400 is about 985.1108810390.

It can be divided in two parts, 95599 and 4400, that added together give a palindrome (99999).

The spelling of 955994400 in words is "nine hundred fifty-five million, nine hundred ninety-four thousand, four hundred".